Former player Eddie Morrison was manager at Rugby Park from 1984 - 1988. He sadly passed away in 2011.
From his Wikipedia: Eddie Morrison (22 February 1948 – 30 May 2011) was a Scottish footballer and manager.
Morrison was born in Gourock, and spent the majority of his playing career as a striker at Kilmarnock, where he scored 121 goals in 271 league appearances.
Morrison also had a short spell at Morton after leaving Kilmarnock, and later joined Morton's coaching staff.
In 1984, he returned to Rugby Park and spent three years as Kilmarnock manager.